Acronym oho
TOCID symbol O|C, aTT
Name octahemioctahedron,
allelotetratetrahedron
 
 © ©
Circumradius 1
Vertex figure [3/2,6,3,6]/0
Snub derivation
Coordinates (1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
General of army co
Colonel of regiment co
Dihedral angles
  • between {3} and {6}:   arccos(1/3) = 70.528779°
Confer
Grünbaumian relatives:
oho+8{3}  
compounds:
iddei  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

The octahemioctahedron is an edge-faceting of the cuboctahedron (co).


Incidence matrix according to Dynkin symbol

x3/2o3x3*a

.   . .    | 12 |  2  2 | 1 2 1
-----------+----+-------+------
x   . .    |  2 | 12  * | 1 1 0
.   . x    |  2 |  * 12 | 1 0 1
-----------+----+-------+------
x3/2o .    |  3 |  3  0 | 4 * *
x   . x3*a |  6 |  3  3 | * 4 *
.   o3x    |  3 |  0  3 | * * 4

snubbed forms: β3/2o3x3*a, x3/2o3β3*a, β3/2o3β3*a

(isotoxal)

12 |  4 | 2 2
---+----+----
 2 | 24 | 1 1
---+----+----
 3 |  3 | 8 *
 6 |  6 | * 4

β3o3x

both( . . . ) | 12 |  2  2 | 1 1 2
--------------+----+-------+------
both( . . x ) |  2 | 12  * | 0 1 1
sefa( β3o . ) |  2 |  * 12 | 1 0 1
--------------+----+-------+------
      β3o .     3 |  0  3 | 4 * *
both( . o3x ) |  3 |  3  0 | * 4 *
sefa( β3o3x ) |  6 |  3  3 | * * 4

starting figure: x3o3x

β3/2x3x

demi( .   . . ) | 12 |  2  2 | 2 1 1
----------------+----+-------+------
both( .   x . ) |  2 | 12  * | 1 1 0
both( .   . x ) |  2 |  * 12 | 1 0 1
----------------+----+-------+------
both( .   x3x ) |  6 |  3  3 | 4 * *
      β3/2x .     3 |  3  0 | * 4 *
sefa( β3/2x3x ) |  3 |  0  3 | * * 4

starting figure: x3/2x3x

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